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Finding the Fourth Proportional to 103,216.40, 154,824.60 and 76,972.40

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Solution

The fourth proportional to 103,216.40, 154,824.60 and 76,972.40 is: 115,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,216.40 : 154,824.60 = 76,972.40 : x
  2. Step 2: Convert to fraction form
    103,216.40/154,824.60 = 76,972.40/x
  3. Step 3: Cross multiply
    103,216.40x = 154,824.60 × 76,972.40
  4. Step 4: Simplify right side
    103,216.40x = 11,917,221,041.04
  5. Step 5: Solve for x
    x = 11,917,221,041.04/103,216.40
  6. Step 6: Final answer
    x = 115,458.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.